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Westkost [7]
3 years ago
7

Write the equation of the line that passes through (3,3) and (1,-5).

Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

y=4x-9

Step-by-step explanation:

Slope:

y2-y1=m(x2-x1)

subsitute the values

-5-3=m(1-3)

solve

-8=m-2

divide both sides by coefficient of x

/-2    /-2

4=m

y-intercept:

y=4x+b

subsitute

3=4(3)+b

solve

3=12+b

subtract 12 from both sides

-12-12

solve

-9=b

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x^2-2x-3=0 has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:

(-1,0) and (3,0).

The y-intercept comes from setting x=0 and calculating the y value:

y=0^2-2\cdot0-3=-3

so the y-intercept is (0,-3).

Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form

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Knowing the apex, the x intercepts, and the y intercept, we can graph it now.

Graph is in the image attached.

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